Answer:
The length of MN is [tex]\sqrt{5}[/tex] units.
Step-by-step explanation:
The given Quadrilateral KLMN has vertices at K(-4,-1), L(-1,-1) M(-2,-5) and N(-4,-4).
We use the distance formula to find the length of MN.
[tex]|MN|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We plug in the values to get
[tex]|MN|=\sqrt{(-4--2)^2+(-4--5)^2}[/tex]
[tex]|MN|=\sqrt{(-2)^2+(1)^2}[/tex]
[tex]|MN|=\sqrt{4+1}[/tex]
[tex]|MN|=\sqrt{5}[/tex]
The length of MN is [tex]\sqrt{5}[/tex] units.
